Effects of Heat and Mass Transfer on Rayleigh-Taylor Instability

[+] Author and Article Information
D. Y. Hsieh

Division of Applied Mathematics, Brown University, Providence, R. I.

J. Basic Eng 94(1), 156-160 (Mar 01, 1972) (5 pages) doi:10.1115/1.3425353 History: Received December 17, 1971; Online October 27, 2010


The effect on the interfacial gravity wave between two fluids is studied when there is a temperature gradient in the fluids. It is found that the thermal effect is closely related to the phase transformation across the interface. The interfacial conditions with mass flow are first derived. Then the dispersion relation for the interfacial wave is obtained. It is found that the effect of evaporation is to damp the interfacial wave and to enhance the Rayleigh-Taylor instability. It is also found that the system will be stabilized or destabilized depending on whether the vapor is hotter or colder than the liquid.

Copyright © 1972 by ASME
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